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Q28 You measure the lifetime of a random sample of 25 rats that are exposed to 1

ID: 3055451 • Letter: Q

Question

Q28 You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM) for which the LD100 is 14 days. The sample mean is -13.8 days. Suppose that the lifetimes for this level of exposure follow a Normal distribution with unknown mean ? and standard deviation ?-0.75 days. Suppose I had measured the lifetimes of a random sample of 100 rats rather than 25. Which of the following statements is true? The margin of error for our 95% confidence interval would stay the same since the level of confidence has not changed. The margin of error for our 95% confidence interval would decrease. ? would decrease. The margin of error for our 95% confidence interval would increase.

Explanation / Answer

The true statement is ,

The margin of error for our 95% confidence interval would decrease.

if the sample size increases , the margin of error decreases. Here smaple size increases from 25 to 100.Therefore margin of error decreases.